Given that \(\mathbb {V}\subset \mathbb {R}^N\)  is a convex space and the constraints over \(\bar{\mathbb {V}}\)  are linear, it can be proven that the distribution over \(\mathbb {V}\)  which maximizes the entropy belong to the exponential family [1]}.
Such exponential take the following form [2]}:
\(\mathcal {P}(v~|~{\beta }) \propto e^{({\beta }{v})} U({v})\) 
